By Topic

Tensor tomography

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

5 Author(s)
G. T. Gullberg ; Dept. of Radiol., Utah Univ., Salt Lake City, UT, USA ; D. G. Roy ; G. L. Zeng ; A. L. Alexander
more authors

Tensors of diffusion, deformation (stress and strain), and conductivity are physical quantities of biological tissue, which can be used to characterize particular disease states. Tensor tomography may be a useful imaging technique for eliciting these tensor quantities when applied in conjunction with an imaging modality such as magnetic resonance imaging (MRI). This paper presents a method for reconstructing a 2×2 second-order tensor field from scalar projection measurements of the tensor field. The reconstruction of the four components of a 2×2 tensor may require as many as four distinct scalar measurements for each projection ray through the tensor field. Fourier projection theorems have been developed for the reconstruction of a tensor field which is decomposed into solenoidal and irrotational components. Results of a computer simulation that demonstrate the validity of the mathematical formulations are presented. A method is also proposed to obtain a diffusion tensor field tomographically from MRI projection measurements of the diffusion tensor field. The method is evaluated experimentally and results of an MRI phantom study are presented

Published in:

IEEE Transactions on Nuclear Science  (Volume:46 ,  Issue: 4 )